广义ρ-d_I-V-Ⅰ型一致不变凸条件下的不可微多目标分式规划(英文)

Nondifferentiable Multiobjective Fractional Programming with Generalized ρ-d_I-V Type-Ⅰ Univexity

本文引进了一类ρ-dI-V-Ⅰ型一致不变凸的新概念,研究了一个带不等式约束的不可微多目标分式规划问题,并且其中每个目标函数和约束函数都按自己的方向可导.在广义ρ-dI-V-Ⅰ型一致不变凸条件下,得到了几个充分最优性条件.而且,建立了一个一般的对偶模型,得到了一个对偶结果.推广了该领域以前一些已知结果.

In this paper,we introduce new concepts ofρ-dI -V type-I univexity and consider a nondifferen-tiable multiobjective fractional programming with inequality constraints in which each component of the objective and constraint functions is directionally differentiable in its own direction.A number of sufficient optimality con-ditions are established under generalized ρ-dI -V type -I univexity.Moreover,a general dual is formulated and a duality result is obtained.Our results extend the previously known results in this area.